Use the zero product property to find the solutions to the equation x2 – 9 = 16.
x = –3 or x = 3 x
= –6 or x = –3 x
= –5 or x = 5 x
= 7 or x = 1
x^2-9=16
x^2=16+9
x^2=25
[tex]\sqrt{x}[/tex]=±5
(-5 or 5)
Verification:
5^2-9=16
25-9=16
(-5)^2-9=16
25-9=16
Answer:
The answer is C x=-5 or x=5
Step-by-step explanation:
correct on edge nov 2020
find the value of x
I have to show the work
Answer:
x = 39
Step-by-step explanation:
A circle is made up of 360 degrees
235+ 54+ x+32 = 360
Combine like terms
x+321=360
Subtract 321 from each side
x+321-321 = 360-321
x = 39
2r(2.59 + 10) - 3(r + 4) + s(r - 1)?
equivalent?
Answer:
2.30 is going to be your anwer
Step-by-step explanation:
Question 1 (2 points)
(03.04)
For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range. (2 points)
A-The vertex is (-1,4), the domain is all real numbers, and the range is y greater than4.
B-The vertex is (-1, 4), the domain is all real numbers, and the range is y less than4.
C-The vertex is (1,4), the domain is all real numbers, and the range is y greater than 4.
D-The vertex is (1.4), the domain is all real numbers, and the range is y less than4.
Answer:
The vertex is (-1, 4), the domain is all real numbers, and the range is y less than 4
Step-by-step explanation:
Given
[tex]f(x) = -(x+1)^2 + 4[/tex]
Solving (a): The vertex;
Assume the general form of a function is
[tex]f(x) = a(x-h)^2+k[/tex]
The vertex is determined by [tex](h,k)[/tex]
By comparison, we have:
[tex]-h = 1[/tex]
Solve for h, we have:
[tex]h = -1[/tex]
[tex]k = 4[/tex]
So, the vertex is:
[tex](h,k) = (-1,4)[/tex]
The domain; x is all real numbers
From the function;
[tex]f(x) = -(x+1)^2 + 4[/tex]
This can be rewritten as:
[tex]f(x) = 4 - (x+1)^2[/tex]
This implies that:
Whatever the value of [tex](x + 1)^2[/tex] is, it will be subtracted from 4 to give y or f(x);
Hence:
y is less than 4
Option B answers the question
What is the image of (2,8) after a reflection over the line y = x?
PLS ANSWER FAST
Ended up getting the answer wrong because the other person this is the correct answer.
(8,2)
Enjoy and Happy Holidays :)
The image of (2,8) after a reflection over the line y = x is (8, 2).
The given coordinate is (2, 8).
What is a reflection over the line y=x?Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.
When we reflect (2, 8) over the line y=x, we get the coordinate as (8, 2). Because the x-coordinate and y-coordinate changed places.
Therefore, the image of (2,8) after a reflection over the line y = x is (8, 2).
To learn more about the reflection over the line y = x visit:
https://brainly.com/question/18376051.
#SPJ5
PLZZZZ HELPPPP I WILL MAKE YOU BRAINLIEST ANSWER PLZZZZZ THANKYOUUU!!!!!!!
Please help asap will give brainliest to first correct answer
Answer:
29
Step-by-step explanation:
They are linear pairs so they add up to 180
6x+6=180
6x=174
x=29
Find the set of solutions for the linear system Use s1, s2, etc. for the free variables if necessary. ,
Answer and explanation:
Please find attached
State whether each equation is true or false. For each equation that is true, write the number property shown by the equation.
a. 0 + 17 = 17. True or False?
false
Property:
communitive
b. 15 ÷ 3 = 3 ÷ 15. True or False?
true
Property:
comunitive
c. 2 + (4 + 9) = (2 + 4) + 9. True or False?
true
Property:
asociotive
d. 14 • 0 = 14. True or False?
false
Property:
Multiplication Property of Zero
fix the wrong answers
Step-by-step explanation:
a. true
property: identity
b. false
property: communitive
c. true
associative
d. false
property: multiplication property of zero
If the probability that it will rain tomorrow is 0.39 what is the probability that it will not rain tomorrow
Answer:
0.61
Step-by-step explanation:
probability is out of 100 so if you do 100-39
you get 61
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume
Complete Question
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability
Answer:
a
The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10
b
[tex]P(X = 6) = 0.158 [/tex]
Step-by-step explanation:
From the question we are told that
The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]
The sample size is n = 10
The possible value x can take is 0, 1 ,2,3,4,5,6,7,8,9,10
Generally the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as
[tex]P(X = 6) = ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]
Here C denotes combination
So
[tex]P(X = 6) = ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]
=> [tex]P(X = 6) = 0.158 [/tex]
4. Gabby ate 25 % of a whole pepperoni pizza.
Lebron ate 1/8 of the pizza.
What fraction of the pizza was left for Mohamed to eat?
Answer:
There is 5/8 left for Mohamed to eat.
Step-by-step explanation:
Let's put everything into fractions of 1/8. knowing that 25% is 1/4 or 2/8, 1/8 + 2/8= 3/8. and to find the answer, you need to subtract 3/8 from 8/8 or 1.
As a result, 5/8.
1/8 = 12.5%
12.5% + 25% = 37.5%
We need to know how much is left.
37.5% is gone, so 100% - 37.5% = 62.5%
62.5% is left for Mohamed to eat.
62.5% = 5/8.
5/8 of a pizza is left for mohamed to eat.
PLEASE HELP :’( last one
Answer:
A.3
Step-by-step explanation:
The angle of a triangle are in ratio 4:5:6.what is the angle of the triangle?
Answer:
48, 60 and 72
Step-by-step explanation:
Given;
The ratios of the angle in the triangle = 4:5:6;
Unknown:
The angle of the triangle = ?
Solution:
We must understand that the sum of angles in a triangle is 180°
So as ratios; 4:5:6 denotes some certain multiples that sums up to 180°
Let the multiple number = x; so
4x : 5x : 6x
4x + 5x + 6x = 180
15x = 180
= 12
The angles in the triangles are:
4(12) : 5(12) : 6(12)
48 : 60 : 72
These angles are 48, 60 and 72
The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.
Answer:
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
Step-by-step explanation:
The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.
So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
The ratio of the number of men to the number of women in a room is 7 : 4. There are 9 more men than women. How many people are there in the room?
Answer:
33 people
Step-by-step explanation:
7x = 4x + 9
3x=9
x=3
7(3) = 21
4(3) = 12
33 people
Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW
Answer:
C= -5t+30
The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.
Step-by-step explanation:
Use the Properties of Equality to solve each equation.
4. b-3= -4
Answer:
b = -1
Step-by-step explanation:
Move all terms containing to the right side of the equation
:)
1+1+1=????????????? pls help
Answer:
3
Step-by-step explanation:
How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has 23 coins in it
Answer:
C ( 27, 4 ) number of ways
Step-by-step explanation:
number of coins in piggy bank = 23
x1 = number of pennies
x2 = number of nickels
x3 = number of dimes
x4 = number of quarters
x5 = number of half dollars
The required condition = 23
The required different combinations can be represented as
= C ( 5 + 23 - 1 , 23 ) = C ( 27 , 23 )
= C ( 27, 4 )
This is because :( C ( n, r ) = C (n, n-r ))
()) Evaluate the expression.
-15 - -14 / 1 + -9 x -11
Answer:
-15--14/1 +-9x-11
-15+14+99
-1+99
98
What is the volume of 22.5 g of metal with a density of 2.81 g/cm
Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³
D = mV=99.7g22.1cm³ = 4.51 g/cm³
Step-by-step explanation:
d = mV
m = d×V
V = md
DENSITY
Density is defined as mass per unit volume.
d = mV
Example:
A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?
Step 1: Calculate the volume
V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³
Step 2: Calculate the density
d = mV = 433g200cm³ = 2.16 g/cm³
MASS
d = mV
We can rearrange this to get the expression for the mass.
m = d×V
Example:
If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?
m = d×V = 500 mL × 1.11g1mL = 555 g
VOLUME
d = mV
We can rearrange this to get the expression for the volume.
V = md
Example:
What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.
Step 1: Convert kilograms to grams.
14.83 kg × 1000g1kg = 14 830 g
Step 2: Calculate the volume.
V = md = 14 830 g × 1cm³19.32g = 767.6 cm³
What is pls help meeee6x+4
Answer:
2(3+2)
Step-by-step explanation:
the triangle and rectangle have an equal perimeter x+5 for the triangle and 2x-3 for the rectangle
Answer:
Perimeter of triangle = 3(x + 5).
Perimeter of rectangle = 2(2x - 3) + 2x
We know that 3(x + 5) = 2(2x - 3) + 2x
So 3x + 15 = 4x - 6 + 2x, 3x = 21, x = 7.
Hence perimeter = 3(7 + 5) = 36.
Step-by-step explanation:
Select the values that correctly complete the problem. a = b = c = d = e =
Answer: 2/3 = b/ac = d/e
Step-by-step explanation:
This is all I got if I got it right. Is this one of your answers?
Answer:
a= 2
b=4
c=3
d=2
e=3
Step-by-step explanation:
i hope this helps.
find the 13 term
7 la For the sequence 11,13,15,17
Yoko made $306 for 18 hours of work.
At the same rate, how much would she make for 8 hours of work?
What’s the answer I need help
Answer:
$136.
Step-by-step explanation:
Divide how much they made by the # of hours. 306/18=17. Multiply the amount per hour 17 by the 8 hours of work. 17x8=136.
two thirds a number x plus 6 is 8
2/3x+6 = 8
subtract 6 from both sides
2/3x = 2
divide both sides by 2/3
x = 3
Answer:
x = 3
Step-by-step explanation:
Multiply both sides of the equation by 3
2x + 18 = 24
Move Constant to the right-hand side and change its sign
2x = 24 - 18
Subtract the numbers
2x = 6
Divide both sides of the equation by 2
x = 3
Solution
x = 3
Evaluate the expression 12- x when x=8
[tex]given \: that \ :[/tex]
[tex]x = 8[/tex]
[tex]then \:12 - x \: will \: be \: :[/tex]
[tex]12 - 8[/tex]
[tex] = 4[/tex]
[tex]∴ \: 12 - 8= 4 [/tex]
Answer:
The result of 12-x when x=8, is 4
Step-by-step explanation:
Numerical Evaluation
Evaluate an algebraic expression means substituting the variables present in the expression by their respective numerical values, operate and report the result.
The given expression is
12 - x
Substituting x = 8, we get:
12 - 8 = 4
The result of 12-x when x=8, is 4
Divison i need help with that
Answer:
K What's the problem?
Step-by-step explanation: